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3 years ago

Find the common ratio 27,9,3,1,1/3

Mathematics

2 answers:

LenKa [72]3 years ago

8 0

Answer:

1/3

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

9/27 = 1/3

Check by dividing the third term by the second

3/9 = 1/3

and so forth

1/3 = 1/3

etc

The common ratio is 1/3

Sliva [168]3 years ago

5 0

The common ratio is 1/3

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Tan x + tan 2x = 0

choli [55]

stated method in question is wrong!

<u>Step-by-step explanation:</u>

We need to find the general solution of x ! for the equation $tan x + tan 2x = 0$

⇒ $tan x + tan 2x = 0$

⇒ $(tan x + tan 2x)-tan2x = 0-tan2x$

⇒ $tan x = -tan2x$

Now , we know that $tan(\pi -2x) = -tan2x$

⇒ $tan x = -tan2x$

⇒ $tan x = tan(\pi -2x)$

Now , we know that $TanA = TanB \\A=B$

⇒ $tan x = tan(\pi -2x)$

⇒ $x = \pi -2x$

⇒ $3x = \pi$

⇒ $x = \frac{\pi}{3}$ ......(1)

General solution of Tan x is : $x = n\pi + \alpha$ , \

Here , from equation (1) we get $\alpha =\frac{\pi }{3}$ . Hence general solution is :

⇒ $x = n\pi +\frac{\pi }{3}$ .Therefore , stated method in question is wrong!

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3 years ago